President Donald Trump selected Alina Habba to continue running the US Attorney’s Office in New Jersey on a temporary basis, seemingly ending a succession drama after federal judges had picked her top assistant to take her place.

The president wants to keep his former personal lawyer as New Jersey’s U.S. attorney.

Meanwhile in the Senate, Republicans on the Judiciary Committee have offered a broad compromise to Democrats in an effort to break a blockade on the president’s slate of US attorney nominees in hopes...